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Finding the Fourth Proportional to 2,667.90, 3,678.39 and 2,002.62

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Solution

The fourth proportional to 2,667.90, 3,678.39 and 2,002.62 is: 2,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.90 : 3,678.39 = 2,002.62 : x
  2. Step 2: Convert to fraction form
    2,667.90/3,678.39 = 2,002.62/x
  3. Step 3: Cross multiply
    2,667.90x = 3,678.39 × 2,002.62
  4. Step 4: Simplify right side
    2,667.90x = 7,366,417.38
  5. Step 5: Solve for x
    x = 7,366,417.38/2,667.90
  6. Step 6: Final answer
    x = 2,761.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.